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Finding the Fourth Proportional to 1,441.20, 1,988.88 and 811.78

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Solution

The fourth proportional to 1,441.20, 1,988.88 and 811.78 is: 1,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.20 : 1,988.88 = 811.78 : x
  2. Step 2: Convert to fraction form
    1,441.20/1,988.88 = 811.78/x
  3. Step 3: Cross multiply
    1,441.20x = 1,988.88 × 811.78
  4. Step 4: Simplify right side
    1,441.20x = 1,614,533.01
  5. Step 5: Solve for x
    x = 1,614,533.01/1,441.20
  6. Step 6: Final answer
    x = 1,120.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.